Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Answer:
The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>
Step-by-step explanation:
Let the number of dimes be 'd' and quarters be 'q'.
Given:
The sum of amount is $45.
The total number of coins are 240.
1 dime = $0.10
∴ 'd' dimes =
1 quarter = $0.25
∴ 'q' quarters =
Now, as per question:
Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:
Therefore, the number of dimes are 100 and number of quarters are 140.
-12, -9, 6, 8 because negatives are smaller than positives.
The y-intercept would be (0, 13)